Problem 1 Consider the function f defined on the interval (–3, 3) by -3

Q: Suppose f(x) is a one-way function satisfying f(x_1) o f(x_2)=f(x_1+x_2) for all integers. There are…

A: Given that, fx 0 fx2=fx1+x2  A) given fa and fb, To compute fa*b  Now, fa*b=fb+b+.....+ba times…

Q: Find (fog)(x), and write the domain of (fog)(x) in interval notation. a) f(x) = 3 8(x) = /2- x. x2 –…

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Q: a) Consider the function f(x) = e2* and g(x) Find i) the domain of f(x) and g(x). (2 marks) i)…

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Q: (10) Let f RR be the function given by f(x) = e and g (1,7) →R be given by g(x) = tan x. (a) Is fog…

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Q: Find the domain for the function. X-3 V3x-2 a) (-0, 00) b) (- ∞, 3) U (3, 0)

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Q: QUESTION 20 Let f(x)= 2x2 - 1 and g(x) = 1 + x?. Find (go g)(x). O 4x* - 4x2 + 2 O 2x* + 4x2 + 1 O…

A: Find (gog)(x)

Q: Each of the following statements is either true or false. Determine for each one whether it is true…

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Q: The graph of the function f(x) = -x³ + 18.x² – 8 is concave upward on o (3,5) None of these o (3,7)…

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Q: If f(x) is an even function defined on the interval [-5,5], Then find - X+1 the real values of x…

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Q: Suppose f(x), f;(x), g,(x), and g,(x) are differentiable functions. Show that, if W = | f,(x) f,(x)|…

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Q: The graph of f(x) is given above. What is the function f(x)? x+1, O A) f(x) if -1<x<0 2 -2+ if 0<x<3…

A: The solution is :

Q: Question 2. Let f (x) = ax+ b and g(x) = cx+ d. Find the values for a,b,c,d such that f(g(x)) = g(f…

A: f(x)=ax+b   g(x)=cx+d

Q: QUESTION 4 Find the domain of the function. f(x) O [9, = -4x + 9 *) (0, ) O (*, *) O (*, 0) U (0, *)

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Q: Question 9 Let f(x) f-¹(x) = 1 2+8

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Q: Example 15. Given the function { if x 1, ax + 1, f(x) = find the real constants a and b such that…

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Q: Determine which functions is not an even function. O gx) = x2 + x h(x) = 2x² + x4 g(x) = x2 – x* + 1…

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Q: f(z)

A: we have to find two non trivial functions f(x) and g(x)  f(g(x))=2(x+5)2

Q: 2. If you graph the function 1 - el/ x f(x) 1+el/x you will see that f appears to be an odd…

A: Recall the following fact.

Q: QUESTION 2 A periodic function f(x) is defined by UTM & UTM and f(x) = f(x + 4). f(x) = x² + 3 for -…

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Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.